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GCD of 340, 720, 330, 116 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 340, 720, 330, 116 quickly. Get the easiest ways to solve the greatest common divisor of 340, 720, 330, 116 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 340, 720, 330, 116 with Factoring?

Given Input numbers are 340, 720, 330, 116

In the factoring method, we have to find the divisors of all numbers

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116


GCD of numbers is the greatest common divisor

So, the GCD (340, 720, 330, 116) = 2.

Find GCD of 340, 720, 330, 116 using Prime Factorization

Given numbers are 340, 720, 330, 116

The list of prime factors of all numbers are

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 330 are 2 x 3 x 5 x 11

Prime factors of 116 are 2 x 2 x 29

The highest common occurrence is 21

Therefore, GCD of 340, 720, 330, 116 is 2.

Steps to Calculate GCD of 340, 720, 330, 116 using LCM Formula

Given numbers are 340, 720, 330, 116

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(340, 720) = 12240

GCD(340, 720) = ( 340 x 720 ) / 12240

= 340 / 720

= 340


Step2:

LCM(20, 330) = 660

GCD(20, 330) = ( 20 x 330 ) / 660

= 20 / 330

= 20


Step3:

LCM(10, 116) = 580

GCD(10, 116) = ( 10 x 116 ) / 580

= 10 / 116

= 10


So, Greatest Common Divisor of 340, 720, 330, 116 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 340, 720, 330, 116

Given numbers are 340, 720, 330, 116
The greatest common divisor of numbers 340, 720, 330, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 720, 330, 116 is 2.

FAQs on GCD of 340, 720, 330, 116 Calculator

1. What is the GCD of 340, 720, 330, 116?

GCD of given numbers 340, 720, 330, 116 is 2


2. How to calculate the greatest common divisor of 340, 720, 330, 116?

We can find the highest common divisor of 340, 720, 330, 116 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 340, 720, 330, 116 i.e 2.


3. How can I use the GCD of 340, 720, 330, 116Calculator?

Out the numbers 340, 720, 330, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.